package randomthoughts.dp;

class Solution {
    public static void main(String[] args) {
        int[]nums=new int[]{1,1,1,1,1};
        int  sum=3;
        combinationSum4(nums, sum);

    }
    public static int combinationSum4(int[] nums, int target) {
        int[] dp = new int[target + 1];
        dp[0] = 1;
        for (int i = 0; i <= target; i++) {
            for (int j = 0; j < nums.length; j++) {
                if (i >= nums[j]) {
                    dp[i] += dp[i - nums[j]];
                }
            }
        }
        for (int i = 0; i < dp.length ; i++) {
            System.out.print(dp[i]+" ");
        }
        return dp[target];
    }
}